1008007 has 32 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 673920.

The previous prime is 1008001. The next prime is 1008013. The reversal of 1008007 is 7008001.

1008007 = 144² + 145² + ... + 181².

It is an interprime number because it is at equal distance from previous prime (1008001) and next prime (1008013).

It is not a de Polignac number, because 1008007 - 2¹¹ = 1005959 is a prime.

It is a super-2 number, since 2×1008007² = 2032156224098, which contains 22 as substring.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18993 + ... + 19045.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2^1008007 is an apocalyptic number.

1008007 is a deficient number, since it is larger than the sum of its proper divisors (443513).

1008007 is a wasteful number, since it uses less digits than its factorization.

1008007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1008007 is about 1003.9955179183. The cubic root of 1008007 is about 100.2661907959.

It can be divided in two parts, 100800 and 7, that multiplied together give a square (705600 = 840²).

The spelling of 1008007 in words is "one million, eight thousand, seven".